Lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección

Answers

Answer 1

Answer:

l lugar geométrico de los puntos que equidistan a otros dos puntos fijos {\displaystyle A}A y {\displaystyle B}B es una recta o eje de simetría de dichos dos puntos. Si los dos puntos son los dos extremos de un segmento {\displaystyle {\overline {AB}}}\overline {AB}, dicha recta, o lugar geométrico, es llamada mediatriz y es la recta que interseca perpendicularmente a {\displaystyle {\overline {AB}}}\overline {AB} en su punto medio.

La bisectriz cumple la propiedad de que todos sus puntos equidistan a los lados de dicho ángulo, convirtiéndose la bisectriz en un caso particular del lugar geométrico que sigue a continuación.

El caso de equidistancia a dos rectas paralelas, obtenemos que la paralela media es el lugar geométrico de los puntos que las equidistan. Se observa que, bajo el punto de vista de que las rectas paralelas se cortan en el infinito -se elimina, pues, la noción de paralelismo-, pasa a ser un sinónimo de la bisectriz, donde el ángulo ha tomado valor nulo.

Secciones cónicas

Las secciones cónicas pueden ser descritas mediante sus lugares de geométria:

La circunferencia es el lugar geométrico de los puntos cuya distancia a un punto determinado, el centro, es un valor dado (el radio).

La elipse es el lugar geométrico de los puntos tales que la suma de su distancia a dos puntos fijos, los focos, es una constante equivalente a la longitud del eje mayor de la elipse.

La parábola es el lugar geométrico de los puntos cuya distancia a un foco equivale a su distancia a una recta llamada directriz.

La hipérbola es el lugar geométrico de los puntos tales que el valor absoluto de la diferencia entre sus distancias a dos puntos fijos, los focos, es igual a una constante (positiva), que equivale a la distancia entre los vértices.

Answer 2

Una recta es un lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección.

Descripción de un enunciado de un lugar geométrico dado

En este ejercicio debemos concluir que tipo de expresión se deriva del enunciado del lugar geométrico. Recuérdese que un lugar geométrico es un conjunto de puntos que satisfacen una característica dada.

Matemáticamente hablando, el lugar geométrico puede ser definido a partir de las definiciones de longitudes de segmento de recta:

[tex]AC = AB + BC[/tex] (1)

Puesto que [tex]AB[/tex] y [tex]BC[/tex] tienen la misma dirección, entonces es posible aplicar las siguientes equivalencias:

[tex]BC = k \cdot AB[/tex], [tex]k\in \mathbb{R}[/tex] (2)

[tex]AC = r\cdot AB, \,r\in\mathbb{R}[/tex] (3)

Al aplicarse (2) y (3) en (1) y simplificar la expresión, tenemos lo siguiente:

[tex]r = 1 + k[/tex] (4)

Por geometría analítica tenemos que el lugar geométrico debe ser una recta, puesto que [tex]r[/tex] y [tex]k[/tex] representan un conjunto infinito de elementos. [tex]\blacksquare[/tex]

Para aprender más sobre lugares geométricos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/26000018


Related Questions

I need help with this one anyone?

Answers

D = 2 √ a/π (use calculator)

The square root of 1 = 1

1 * 1 = 2

Diameter = 2

C = πd (use a calculator)

Circumference = 6.28

C = 2

A = πr ²

Now divided both sides by π

A/π = r ²

Substitute the area of the circle for the variable A

r = √3.14 π

Divide the area by π

r = √ 3.14/3.14

r = √=1

The square root of 1 = 1

Radius = 1

Need to find the area of ABCE

Answers

Answer:

Find areas of square and triangle separately

ABDC= l x l

= 9 x 9

=81

AED= l x h x 1/2

= 9 x 9 x 1/2

=40.5

Area = 81+40.5

= 121.5 cm2

All_______have moveable spines that they use for protection. on edge

Answers

hello,

you didn't put an answer option, and the only thing this is reminding me of is, A sea cucumber.

All Sea Cucumbers have moveable spines that they use for protection, on edge.

Answer:

///

Step-by-step explanation:

Animals

Convert each of mixed number to an improper fraction

Answers

Answer:

Top, a through d:

A) 23/8

B) 29/6

C) 23/3

D) 16/5

Step-by-step explanation:

To make the proper fraction improper, first, multiply the whole number by the bottom number in the fraction, then add whatever number was on top of the fraction, so for A, multiply 2 (whole number) by 8 (number on the bottom of the fraction), then add 7 (number on top of the fraction)

Please help me?!!!!!!

Answers

Answer:

It is easy

Step-by-step explanation:

1)100%=120kg

so 50%=120/50

=60kg

2)100%=120

so 25%

=120/25

=30kg

Mark as brainliest if it reallly helped you

If you know that a < b, and both a and b and positive numbers, then what just be true about the relationship between the opposites of these numbers? Explain.​

Answers

Answer:

-a > -b

Step-by-step explanation:

On a number line, every number (except zero, the origin) has both a magnitude and a direction (left or right, negative or positive).

The magnitude is how far the number is from the origin. 10 is further from zero than 6 is. And -10 is alos further from zero than -6 is.

If a < b and a,b are both positive, that means a and b are both on the right-hand side of the number line, and a is closer to the origin than b. The magnitude of a is smaller than that of b.

So if we switch the sign son both a and b, they both become negative and go over to the left-hand side of the number line. But their magntidues do not change, so a is still closer to the origin than b. Since b is now a negative number, further to the left than a, it is smaller than a.

Example: let a = 3 and b =5.  

It is true that 3 < 5.

But it is NOT true that -3 < -5. It's the other way around!

-5 < -3

So, if a < b, then -a > -b.

I hope this brainliest, for 5 stars.

A baker needs 15lb of cream cheese that contains 20% fat to fill a big order. But his supplier delivers one cream cheese that contains 10% fat, and another that contains 35% fat. How many pounds of each should a baker combine to fill the order?

Pls help if you answer u will get 40 points

Answers

Answer:

136.5 g

Step-by-step explanation:

Joanna has a total of 50 coins in her purse.
The coins are either dimes and quarters.
The total value of the coins. $7.10

Answers

Answer:

A. n+q+50

0.05n+0.25q=7.10

Step-by-step explanation:

Hope this helps :)

Answer:

what r we looking for? to answer

Step-by-step explanation:

7.10/50 = 0.142

Express as a trinomial (x + 3)(3x + 3)

Answers

The answer is 3x^2 + 12x + 9

Answer:

3x^2 + 12x + 9

Step-by-step explanation:

3x • x + 3x • 3 + 3 • x + 3 • 3

Write an expression that is equivalent to
za
1
a - 4.
1
a
4 =
?
(
|
?

Answers

Answer:

½a - 4 = ? ( a - ?)

1a - 8 = -7a ( a - ?)

= ( a- 7a)

= ( -6a)

Find m\angle Am∠Am, angle, A.
Round to the nearest degree.

Answers

Answer:

m∠A = 106°

Step-by-step explanation:

All three sides of the triangle are given in the question.

To find the measure of included angle A between two sides we will apply cosine formula,

BC²= AB² + AC² - 2(AB)(AC)cosA

(13)² = (10)² + (6)² - 2(10)(6)cosA

169 = 100 + 36 - 120cosA

cosA = [tex]\frac{-169+136}{120}[/tex]

cosA = -0.275

A = [tex]\text{cos}^{-1}(-0.275)[/tex]

A = 105.96°

A ≈ 106°

Therefore, m∠A = 106° will be the answer.

When calculating the circumference of a circle with r= 3 inches, which answer provides the most accuracy
18.86 in
18.84 in
6.7 in

Answers

b: 18.84 in.

use the formula 2 x radius x pi (3.14).

sorry that this question was up for an hour before it got answered.

How do I multiply a number and a half (3.5) with a whole number.

Answers

Answer:

Turn the decimal into a fraction and the whole number into a fraction

Step-by-step explanation:

Example: 7/2x56/1

a cone has been partially filled with peanuts. The diagram shows the dimensions of the cone. The volume of the peanut-filled portion of the cone is 169.89cm^3. Which measurement is closest to the volume of the empty portion of the cone?

Answers

Answer:

126.99 cm³

Step-by-step explanation:

volume of cone = ⅓πr²h ≅ 296.88 cm³

volume of empty portion = 296.88 - 169.89 = 126.99 cm³

Question 2
1 pts
if two dice are rolled, what is the probability that the sum of the dots on the upward is 10

Answers

Ways to make 10:

Dice 1 and dice 2
4 and 6
5 and 5
5 and 5
6 and 4

6 x 6 is 36 possibilities

4/36 = 1/9

What is the volume of the prism below?

A prism has a length of 1, height of 1 and three-fourths, and width of 2.
2 and three-fourths units3
3 and one-half units3
5 units3
8 units3

Answers

Answer:

it is c

Step-by-step explanation:

5 units 3 i think

Answer:

Its B (3 1/2)

Step-by-step explanation:

You and a friend went to Glory Days for dinner. You ordered a cheeseburger for $8.50 and a soda for $1.99. Your friend convinced you to share and split the cost of onion rings that cost $7.00. How much did you spend on your dinner?

Answers

Answer:

$13.99

Step-by-step explanation:

that's the burger and pop and half the onion rings cost combined



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

The answer is m= 20 b= 150

At the annual fair in Springfield, the entrance fee $20 and every ride requires a $3
ticket. If Bob wants to spend between $32 and $53 at the fair, what is the inequality
that correctly describes how many rides he can go on (x is the number of rides he can
go on)?
a. 4 b. 4 c. 10 d. 10

Answers

D. X = 10 rides that Bob can ride

the square root of 7 is between which of the following pair of number?

A.2 and 3
B.3 and 4
C.4.5 and 5.5
D.9 and 10​

Answers

Answer:

A. 2 and 3

Step-by-step explanation:

The square root of 7 is 2.7 which makes it between 2 and 3.

Answer:

A

Step-by-step explanation:

because the square root of 4 is 2

and the square root of 9 is 3

since 7 is in between 4 and 9 the square root is in between 2 and 3

BEST GETS BRAINLIEST +THANKS +POINT PLS HELP

Answers

The answer is C
You’re welcome

How many square feet of outdoor carpet will
we need for this hole?
?
3 ft
Ift
2 ft
4 ft
2 ft
12 ft

Answers

Answer:

40 sq feet

Step-by-step explanation:

(im bad at explaining)

1 x 2 = 2 sq ft

3 x 2 = 6 sq ft

4 x 12 = 48 sq ft

2 sq ft + 6 + sq ft = 8 sq ft

48 - 8 = 40

The amount of outdoor carpet needed = area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle) = 40 ft².

What is the Area of a Rectangle?

Area of a rectangle = lenght × width.

The amount of square feet of outdoor carpet needed = area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)

The amount of square feet of outdoor carpet needed = 12 × 4 - (3 × 2 + 2 × 1)

The amount of square feet of outdoor carpet needed = 48 - (6 + 2)

The amount of square feet of outdoor carpet needed = 40 ft²

Learn more about area of a rectangle on:

https://brainly.com/question/25292087

#SPJ5

2(2x³-3x²+5x-7)-3(x³+x²-x+1)​

Answers

Answer: x³-9x²+13x-17

Step-by-step explanation:

I used Photomath with is an app that takes pictures of equations and figures them out for you, 100% percent recommend.

What is the multiplication of fractions of 6x3/8

Answers

i’m sure the answer is 9/4

9) You want to rent a car from Shiny Car Rental. It will cost you a flat fee of $20 plus
$0.17 per mile. What expression would you use to find the total cost in dollars for
driving x miles?

Answers

Answer:

Step-by-step explanation:

y = 0.17x + 20

For a normal distribution, what z-score value separates the lowest 25% of the scores from the rest of the distribution

Answers

Answer:

Z = -0.675.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What z-score value separates the lowest 25% of the scores from the rest of the distribution

This is Z which has a pvalue of 0.75, so Z = -0.675.

Can anybody help me pls

Answers

Answer:

2,3 i think its been a while scince i did slopes

Step-by-step explanation:

Answer:

it goes 3 to the right

2 to the up

Rise/Run

so it is a 2/3

Find the greatest common factor of these three expressions.
70u, 30u)
and 20u?

Answers

Answer:

70 ÷ 10 = 7

30 30 ÷ 10 = 3

20 20 ÷ 10 = 2

Step-by-step explanation:

PLS HELP FAST!!!!!!!!!!!

Answers

Answer:$24,000

Step-by-step explanation:12 times 2 percent of option 2 is $24,000

The answer is 24,000 hope this helps

I need help can someone help? Please

Answers

25 degrees

5x + 25x + 30 = 180
30x = 150
x = 5

Angle WRS is opposite angle VRT, so they are equal. Plug in 5
5(5)= 25

Answer:

25° is the answer pls give brainliest

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